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Manifolds and mechanics by Jones, Arthur

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Published by Cambridge University Press in Cambridge [Cambridgeshire], New York .
Written in English

Subjects:

  • Differentiable manifolds,
  • Mechanics, Analytic

Book details:

Edition Notes

StatementArthur Jones and Alistair Gray, Robert Hutton.
SeriesAustralian Mathematical Society lecture series ;, 2
ContributionsGray, Alistair., Hutton, Robert.
Classifications
LC ClassificationsQA614.3 .J66 1987
The Physical Object
Pagination166 p. :
Number of Pages166
ID Numbers
Open LibraryOL2377983M
ISBN 10052133375X, 0521336503
LC Control Number87006407

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This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop, simply but rigorously, the theory of Lanrangian mechanics directly from Newton's by: 8. This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop, simply but rigorously, the theory of Lanrangian mechanics directly from Newton's laws. This book is a new edition of Tensors and Manifolds: With Applications to Mechanics and Relativity which was published in It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanse of modern mathematics and its application in modern physics. Manifolds and Mechanics - by Arthur Jones May We use cookies to distinguish you from other users and to provide you with a better experience on our websites.

This book is a new edition of "Tensors and Manifolds: With Applications to Mechanics and Relativity" which was published in It is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics, giving an introduction to the expanse of modern mathematics and its application in modern physics. It aims to fill the gap between the basic courses. Prerequisites include multivariable calculus, linear algebra, differential equations, and a basic knowledge of analytical mechanics. Review of the first edition: This book presents an introduction to differential geometry and the calculus on manifolds with a view on some of its applications in physics. . The books are intended to serve as modern global formulation of mechanics presented in this book should be distin-guished from the geometric treatments that appear in [1, 10, 16, 25, 27, ration manifold to the cotangent bundle of the configuration manifold. A. Lie groups and Hamiltonian mechanics are closely examined in the last two chapters. Included throughout the book are a collection of exercises of varying degrees of difficulty. Differentiable Manifolds is intended for graduate students and researchers interested in a theoretical physics approach to the subject. Prerequisites include.

Studies in Mathematics and Mechanics is a collection of studies presented to Professor Richard von Mises as a token of reverence and appreciation on the occasion of his seventieth birthday which occurred on Ap von Mises’ thought has been a stimulus in many seemingly unconnected fields of mathematics, science, and philosophy, to which he has contributed decisive results and new.   This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop, simply but rigorously, the theory of Lanrangian mechanics directly from Newton's laws. Unnecessary abstraction has been avoided to produce an account suitable for students in mathematics or physics who Format: Printed Access Code.   This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be self-contained, this book provides complete and rigorous proofs of all the results presented within. This book provides an accessible introduction to the variational formulation of Lagrangian and Hamiltonian mechanics, with a novel emphasis on global descriptions of the dynamics, which is a significant conceptual departure from more traditional approaches based on the use of local coordinates on the configuration manifold.